 ##  [Spec Functor](/spec-functor) 

  ##  [Spec Functor](https://mathlogic.quantumdictionary.io/spec-functor-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

The contravariant functor from the category of commutative rings to topological spaces (and schemes) that assigns to each commutative ring its prime spectrum Spec(R) equipped with the Zariski topology and the natural structure sheaf, thereby translating algebraic information into geometric objects.